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Finding the Third Proportional to 15,182 and 36,899

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Solution

The third proportional to 15,182 and 36,899 is: 89,680.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,182 : 36,899 = 36,899 : x
  2. Step 2: Convert to fraction form
    15,182/36,899 = 36,899/x
  3. Step 3: Cross multiply
    15,182x = 36,899 × 36,899
  4. Step 4: Simplify right side
    15,182x = 1,361,536,201
  5. Step 5: Solve for x
    x = 1,361,536,201/15,182
  6. Step 6: Final answer
    x = 89,680.95

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.